{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "http://cs229.stanford.edu/ps/ps1/ps1.pdf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df_tv = pd.read_csv('http://cs229.stanford.edu/ps/ps1/quasar_train.csv')\n",
    "cols_tv = df_tv.columns.values.astype(float).astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200, 450)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_tv.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1150.000</th>\n",
       "      <th>1151.000</th>\n",
       "      <th>1152.000</th>\n",
       "      <th>1153.000</th>\n",
       "      <th>1154.000</th>\n",
       "      <th>1155.000</th>\n",
       "      <th>1156.000</th>\n",
       "      <th>1157.000</th>\n",
       "      <th>1158.000</th>\n",
       "      <th>1159.000</th>\n",
       "      <th>...</th>\n",
       "      <th>1590.000</th>\n",
       "      <th>1591.000</th>\n",
       "      <th>1592.000</th>\n",
       "      <th>1593.000</th>\n",
       "      <th>1594.000</th>\n",
       "      <th>1595.000</th>\n",
       "      <th>1596.000</th>\n",
       "      <th>1597.000</th>\n",
       "      <th>1598.000</th>\n",
       "      <th>1599.000</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.629</td>\n",
       "      <td>1.910</td>\n",
       "      <td>0.976</td>\n",
       "      <td>2.161</td>\n",
       "      <td>0.964</td>\n",
       "      <td>2.068</td>\n",
       "      <td>1.630</td>\n",
       "      <td>1.716</td>\n",
       "      <td>2.378</td>\n",
       "      <td>-0.540</td>\n",
       "      <td>...</td>\n",
       "      <td>0.532</td>\n",
       "      <td>1.462</td>\n",
       "      <td>0.323</td>\n",
       "      <td>2.515</td>\n",
       "      <td>1.194</td>\n",
       "      <td>0.654</td>\n",
       "      <td>1.056</td>\n",
       "      <td>1.450</td>\n",
       "      <td>0.203</td>\n",
       "      <td>0.382</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.161</td>\n",
       "      <td>1.830</td>\n",
       "      <td>0.609</td>\n",
       "      <td>1.932</td>\n",
       "      <td>0.932</td>\n",
       "      <td>0.857</td>\n",
       "      <td>0.978</td>\n",
       "      <td>1.032</td>\n",
       "      <td>1.793</td>\n",
       "      <td>1.455</td>\n",
       "      <td>...</td>\n",
       "      <td>0.961</td>\n",
       "      <td>1.407</td>\n",
       "      <td>1.296</td>\n",
       "      <td>0.943</td>\n",
       "      <td>1.055</td>\n",
       "      <td>2.265</td>\n",
       "      <td>1.053</td>\n",
       "      <td>1.439</td>\n",
       "      <td>0.767</td>\n",
       "      <td>-0.552</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.085</td>\n",
       "      <td>-1.304</td>\n",
       "      <td>0.691</td>\n",
       "      <td>-0.800</td>\n",
       "      <td>-1.090</td>\n",
       "      <td>1.087</td>\n",
       "      <td>0.734</td>\n",
       "      <td>1.198</td>\n",
       "      <td>1.122</td>\n",
       "      <td>0.742</td>\n",
       "      <td>...</td>\n",
       "      <td>0.447</td>\n",
       "      <td>1.139</td>\n",
       "      <td>0.422</td>\n",
       "      <td>1.248</td>\n",
       "      <td>1.047</td>\n",
       "      <td>0.500</td>\n",
       "      <td>1.514</td>\n",
       "      <td>1.623</td>\n",
       "      <td>1.202</td>\n",
       "      <td>0.924</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.283</td>\n",
       "      <td>-0.487</td>\n",
       "      <td>0.660</td>\n",
       "      <td>0.167</td>\n",
       "      <td>-1.217</td>\n",
       "      <td>1.535</td>\n",
       "      <td>2.264</td>\n",
       "      <td>0.220</td>\n",
       "      <td>0.865</td>\n",
       "      <td>-0.723</td>\n",
       "      <td>...</td>\n",
       "      <td>0.714</td>\n",
       "      <td>1.173</td>\n",
       "      <td>1.579</td>\n",
       "      <td>0.477</td>\n",
       "      <td>0.781</td>\n",
       "      <td>0.525</td>\n",
       "      <td>2.466</td>\n",
       "      <td>1.493</td>\n",
       "      <td>1.503</td>\n",
       "      <td>0.698</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.107</td>\n",
       "      <td>0.328</td>\n",
       "      <td>0.681</td>\n",
       "      <td>2.500</td>\n",
       "      <td>0.083</td>\n",
       "      <td>1.876</td>\n",
       "      <td>2.359</td>\n",
       "      <td>1.122</td>\n",
       "      <td>0.584</td>\n",
       "      <td>0.835</td>\n",
       "      <td>...</td>\n",
       "      <td>1.427</td>\n",
       "      <td>2.685</td>\n",
       "      <td>1.152</td>\n",
       "      <td>1.365</td>\n",
       "      <td>0.280</td>\n",
       "      <td>2.246</td>\n",
       "      <td>1.249</td>\n",
       "      <td>1.304</td>\n",
       "      <td>0.578</td>\n",
       "      <td>0.831</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 450 columns</p>\n",
       "</div>"
      ],
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       "   1150.000  1151.000  1152.000  1153.000  1154.000  1155.000  1156.000  \\\n",
       "0     0.629     1.910     0.976     2.161     0.964     2.068     1.630   \n",
       "1    -0.161     1.830     0.609     1.932     0.932     0.857     0.978   \n",
       "2    -0.085    -1.304     0.691    -0.800    -1.090     1.087     0.734   \n",
       "3     1.283    -0.487     0.660     0.167    -1.217     1.535     2.264   \n",
       "4    -0.107     0.328     0.681     2.500     0.083     1.876     2.359   \n",
       "\n",
       "   1157.000  1158.000  1159.000    ...     1590.000  1591.000  1592.000  \\\n",
       "0     1.716     2.378    -0.540    ...        0.532     1.462     0.323   \n",
       "1     1.032     1.793     1.455    ...        0.961     1.407     1.296   \n",
       "2     1.198     1.122     0.742    ...        0.447     1.139     0.422   \n",
       "3     0.220     0.865    -0.723    ...        0.714     1.173     1.579   \n",
       "4     1.122     0.584     0.835    ...        1.427     2.685     1.152   \n",
       "\n",
       "   1593.000  1594.000  1595.000  1596.000  1597.000  1598.000  1599.000  \n",
       "0     2.515     1.194     0.654     1.056     1.450     0.203     0.382  \n",
       "1     0.943     1.055     2.265     1.053     1.439     0.767    -0.552  \n",
       "2     1.248     1.047     0.500     1.514     1.623     1.202     0.924  \n",
       "3     0.477     0.781     0.525     2.466     1.493     1.503     0.698  \n",
       "4     1.365     0.280     2.246     1.249     1.304     0.578     0.831  \n",
       "\n",
       "[5 rows x 450 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_tv.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df_test = pd.read_csv('http://cs229.stanford.edu/ps/ps1/quasar_test.csv')\n",
    "cols_test = df_test.columns.values.astype(float).astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "assert (cols_tv == cols_test).all()\n",
    "df_tv.columns = cols_tv\n",
    "df_test.columns = cols_test\n",
    "wave_lens = cols_tv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(50, 450)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
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       "      <th>0</th>\n",
       "      <td>0.025</td>\n",
       "      <td>1.460</td>\n",
       "      <td>-0.057</td>\n",
       "      <td>1.37</td>\n",
       "      <td>2.090</td>\n",
       "      <td>1.150</td>\n",
       "      <td>-0.182</td>\n",
       "      <td>0.351</td>\n",
       "      <td>1.57</td>\n",
       "      <td>1.970</td>\n",
       "      <td>...</td>\n",
       "      <td>0.525</td>\n",
       "      <td>0.574</td>\n",
       "      <td>1.570</td>\n",
       "      <td>1.280</td>\n",
       "      <td>0.963</td>\n",
       "      <td>1.04</td>\n",
       "      <td>1.160</td>\n",
       "      <td>0.555</td>\n",
       "      <td>0.733</td>\n",
       "      <td>1.180</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.210</td>\n",
       "      <td>0.375</td>\n",
       "      <td>0.695</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>0.275</td>\n",
       "      <td>-0.128</td>\n",
       "      <td>0.043</td>\n",
       "      <td>-0.054</td>\n",
       "      <td>1.40</td>\n",
       "      <td>1.950</td>\n",
       "      <td>...</td>\n",
       "      <td>0.658</td>\n",
       "      <td>0.579</td>\n",
       "      <td>1.670</td>\n",
       "      <td>1.230</td>\n",
       "      <td>1.230</td>\n",
       "      <td>1.19</td>\n",
       "      <td>1.220</td>\n",
       "      <td>0.932</td>\n",
       "      <td>1.280</td>\n",
       "      <td>0.338</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.380</td>\n",
       "      <td>-0.436</td>\n",
       "      <td>2.700</td>\n",
       "      <td>1.18</td>\n",
       "      <td>1.850</td>\n",
       "      <td>0.374</td>\n",
       "      <td>2.290</td>\n",
       "      <td>1.110</td>\n",
       "      <td>1.06</td>\n",
       "      <td>1.270</td>\n",
       "      <td>...</td>\n",
       "      <td>0.672</td>\n",
       "      <td>0.483</td>\n",
       "      <td>1.350</td>\n",
       "      <td>1.450</td>\n",
       "      <td>2.810</td>\n",
       "      <td>1.28</td>\n",
       "      <td>0.893</td>\n",
       "      <td>1.980</td>\n",
       "      <td>0.744</td>\n",
       "      <td>0.610</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.427</td>\n",
       "      <td>0.509</td>\n",
       "      <td>1.060</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.537</td>\n",
       "      <td>0.288</td>\n",
       "      <td>2.790</td>\n",
       "      <td>2.120</td>\n",
       "      <td>1.51</td>\n",
       "      <td>-0.937</td>\n",
       "      <td>...</td>\n",
       "      <td>0.928</td>\n",
       "      <td>1.020</td>\n",
       "      <td>0.462</td>\n",
       "      <td>1.040</td>\n",
       "      <td>1.070</td>\n",
       "      <td>1.64</td>\n",
       "      <td>1.250</td>\n",
       "      <td>0.706</td>\n",
       "      <td>0.673</td>\n",
       "      <td>1.480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.371</td>\n",
       "      <td>0.773</td>\n",
       "      <td>-0.621</td>\n",
       "      <td>1.84</td>\n",
       "      <td>0.284</td>\n",
       "      <td>-0.009</td>\n",
       "      <td>1.910</td>\n",
       "      <td>1.900</td>\n",
       "      <td>1.64</td>\n",
       "      <td>0.803</td>\n",
       "      <td>...</td>\n",
       "      <td>1.240</td>\n",
       "      <td>0.867</td>\n",
       "      <td>1.460</td>\n",
       "      <td>0.035</td>\n",
       "      <td>1.880</td>\n",
       "      <td>1.74</td>\n",
       "      <td>-0.225</td>\n",
       "      <td>0.711</td>\n",
       "      <td>-0.571</td>\n",
       "      <td>0.786</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 450 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    1150   1151   1152  1153   1154   1155   1156   1157  1158   1159  ...    \\\n",
       "0  0.025  1.460 -0.057  1.37  2.090  1.150 -0.182  0.351  1.57  1.970  ...     \n",
       "1  1.210  0.375  0.695 -0.09  0.275 -0.128  0.043 -0.054  1.40  1.950  ...     \n",
       "2  1.380 -0.436  2.700  1.18  1.850  0.374  2.290  1.110  1.06  1.270  ...     \n",
       "3  0.427  0.509  1.060  0.80  0.537  0.288  2.790  2.120  1.51 -0.937  ...     \n",
       "4 -0.371  0.773 -0.621  1.84  0.284 -0.009  1.910  1.900  1.64  0.803  ...     \n",
       "\n",
       "    1590   1591   1592   1593   1594  1595   1596   1597   1598   1599  \n",
       "0  0.525  0.574  1.570  1.280  0.963  1.04  1.160  0.555  0.733  1.180  \n",
       "1  0.658  0.579  1.670  1.230  1.230  1.19  1.220  0.932  1.280  0.338  \n",
       "2  0.672  0.483  1.350  1.450  2.810  1.28  0.893  1.980  0.744  0.610  \n",
       "3  0.928  1.020  0.462  1.040  1.070  1.64  1.250  0.706  0.673  1.480  \n",
       "4  1.240  0.867  1.460  0.035  1.880  1.74 -0.225  0.711 -0.571  0.786  \n",
       "\n",
       "[5 rows x 450 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_test.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Take a quick look"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x101024cc0>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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VOyQXmEAW9sNdUYhRdjrLS+7QrSsIyR3nzqYunDJ+sGl/l0OwUy5wB2iuNwBY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\nNwc3lNuPspIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1121d8b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wave_lens, df_tv.loc[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1126d5400>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AHj6bfVQnNu/qtOybzgUp8TnGfmvuNEaCA8sC2NEe0sWhoS2kV3Y8ptW8lxX6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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1127130f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wave_lens, df_test.loc[29])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (a) i."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In PS0, it's proved\n",
    "\n",
    "$$x^TAx = \\sum_{i,j}^{m} A_{ij}x_i x_j$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So \n",
    "\n",
    "\\begin{align*}\n",
    "J(\\theta) &= (X\\theta - \\vec{y})^T W (X\\theta - \\vec{y}) \\\\\n",
    "               &= \\sum_{ij}^{m} W_{ij} (X\\theta - \\vec{y})_{i} (X\\theta - \\vec{y})_{j} \\\\ \n",
    "               &= \\sum_{ij}^{m} W_{ij} (\\theta^T x^{(i)} - y^{(i)}) (\\theta^T x^{(j)} - y^{(j)}) \\\\ \n",
    "\\end{align*}\n",
    "\n",
    "where $x^{(i)}$ is the $i$th column of matrix $X^T$, and $y^{(i)}$ is the $i$th element of $\\vec{y}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given $W$ is diagonal matrix of shape $m \\times m$ (correspond to $m$ data points), all elements of $J(\\theta)$ becomes $0$ unless when $i=j$\n",
    "\n",
    "\\begin{align*}\n",
    "J(\\theta) &= \\sum_{i}^{m} W_{ii} (\\theta^T x^{(i)} - y^{(i)})^2 \\\\ \n",
    "\\end{align*}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To make $J(\\theta)$ match \n",
    "\n",
    "\\begin{align*}\n",
    "J(\\theta) &= \\frac{1}{2}\\sum_{i}^{m} w_{i} (\\theta^T x^{(i)} - y^{(i)})^2 \\\\ \n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "set $$W_{ii} = \\frac{1}{2}w_{i}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (a) ii."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Do the normal case for exercise, using $\\nabla_x x^T A x = 2Ax$,\n",
    "\n",
    "\\begin{align*}\n",
    "\\nabla_{\\theta} J(\\theta)\n",
    "    &= 2 (W (X\\theta - \\vec{y}))^T X \\\\\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let $\\nabla_{\\theta} J(\\theta) = 0$,\n",
    "\n",
    "\\begin{align*}\n",
    "   2 (W (X\\theta - \\vec{y}))^T X &= 0 \\\\\n",
    "   X^T(W (X\\theta - \\vec{y})) &= 0 \\\\\n",
    "   X^T W X\\theta - X^T W \\vec{y} &= 0 \\\\\n",
    "   X^T W X\\theta &= X^T W \\vec{y} \\\\\n",
    "   \\theta &= (X^T W X)^{-1} X^T W \\vec{y} \\\\\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When $W = I$, i.e. all data points are equally weighted,\n",
    "\n",
    "$$\\theta = (X^T X)^{-1} X^T \\vec{y}$$\n",
    "\n",
    "which is exactly the normal case."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (a) iii."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{align*}\n",
    "l &= \\mathrm{log} \\prod_{i=1}^{m} p(y^{(i)}|x^{(i)}; \\theta) \\\\\n",
    "  &= \\mathrm{log} \\prod_{i=1}^{m} \\frac{1}{\\sqrt{2\\pi} \\sigma^{(i)}} \\mathrm{exp}\\bigg (- \\frac{(y^{(i)} - \\theta^Tx^{(i)})^2}{2(\\sigma^{(i)})^2} \\bigg) \\\\\n",
    "  &= \\sum_{i=1}^{m} \\mathrm{log}\\frac{1}{\\sqrt{2\\pi} \\sigma^{(i)}} - \\frac{1}{2} \\sum_{i=1}^{m} \\frac{1}{(\\sigma^{(i)})^2} (y^{(i)} - \\theta^Tx^{(i)})^2\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Comparing $l$ to $J(\\theta) = \\frac{1}{2}\\sum_{i}^{m} w_{i} (\\theta^T x^{(i)} - y^{(i)})^2$,\n",
    "\n",
    "1. the first part of $l$ is a constant, so ignore it. \n",
    "1. maximizing $l$ is equivalent to minimizing the negative of it: $\\frac{1}{2} \\sum_{i=1}^{m}\\frac{1}{(\\sigma^{(i)})^2} (y^{(i)} - \\theta^Tx^{(i)})^2$\n",
    "1. so $w_i$ can be written as $\\frac{1}{(\\sigma^{(i)})^2}$\n",
    "\n",
    "Therefore, maxmizing this likelihood is equivalent to solving a weighted linear regression problem."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (b) i."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "        text-align: right;\n",
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1150</th>\n",
       "      <th>1151</th>\n",
       "      <th>1152</th>\n",
       "      <th>1153</th>\n",
       "      <th>1154</th>\n",
       "      <th>1155</th>\n",
       "      <th>1156</th>\n",
       "      <th>1157</th>\n",
       "      <th>1158</th>\n",
       "      <th>1159</th>\n",
       "      <th>...</th>\n",
       "      <th>1590</th>\n",
       "      <th>1591</th>\n",
       "      <th>1592</th>\n",
       "      <th>1593</th>\n",
       "      <th>1594</th>\n",
       "      <th>1595</th>\n",
       "      <th>1596</th>\n",
       "      <th>1597</th>\n",
       "      <th>1598</th>\n",
       "      <th>1599</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.629</td>\n",
       "      <td>1.91</td>\n",
       "      <td>0.976</td>\n",
       "      <td>2.161</td>\n",
       "      <td>0.964</td>\n",
       "      <td>2.068</td>\n",
       "      <td>1.63</td>\n",
       "      <td>1.716</td>\n",
       "      <td>2.378</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>...</td>\n",
       "      <td>0.532</td>\n",
       "      <td>1.462</td>\n",
       "      <td>0.323</td>\n",
       "      <td>2.515</td>\n",
       "      <td>1.194</td>\n",
       "      <td>0.654</td>\n",
       "      <td>1.056</td>\n",
       "      <td>1.45</td>\n",
       "      <td>0.203</td>\n",
       "      <td>0.382</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1 rows × 450 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    1150  1151   1152   1153   1154   1155  1156   1157   1158  1159  ...    \\\n",
       "0  0.629  1.91  0.976  2.161  0.964  2.068  1.63  1.716  2.378 -0.54  ...     \n",
       "\n",
       "    1590   1591   1592   1593   1594   1595   1596  1597   1598   1599  \n",
       "0  0.532  1.462  0.323  2.515  1.194  0.654  1.056  1.45  0.203  0.382  \n",
       "\n",
       "[1 rows x 450 columns]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_tv.head(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Implement $\\theta = (X^T X)^{-1} X^T \\vec{y}$ for normal cases, and $\\theta = (X^T W X)^{-1} X^T W \\vec{y}$ for general cases."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def optim(X, y, W=None):\n",
    "    if W is None:\n",
    "        return np.linalg.inv(X.T.dot(X)).dot(X.T).dot(y)\n",
    "    else:\n",
    "        return np.linalg.inv(X.T.dot(W).dot(X)).dot(X.T).dot(W).dot(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x0 = np.ones(df_tv.shape[1])\n",
    "x1 = wave_lens\n",
    "y = df_tv.head(1).values.ravel()\n",
    "X = np.stack([x0, x1]).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(450, 2) (450,)\n"
     ]
    }
   ],
   "source": [
    "print(X.shape, y.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "theta = optim(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1126ffdd8>]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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wHrlsMob6gBv/uRSIBHH7mdUYmW/DPz/bhtqGFlw8rRRjix3YtqcOm/YfwdRc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\ngiCyDBJ2giCILIOEnSAIIsv4f0KwKp58DFHbAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1126ffa90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wave_lens, df_tv.loc[0].values)\n",
    "plt.plot(wave_lens, X.dot(theta))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (b) ii."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def construct_weight_matrix(X, x_eval, tau=5):\n",
    "    return np.diag(np.exp(- (X[:,1] - x_eval[1]) **2 / (2 * tau ** 2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x0 = np.ones(df_tv.shape[1])\n",
    "x1 = wave_lens\n",
    "y = df_tv.head(1).values.ravel()\n",
    "X = np.stack([x0, x1]).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "res = []\n",
    "preds = []\n",
    "for k, x_eval in enumerate(X):\n",
    "    W = construct_weight_matrix(X, x_eval)\n",
    "    theta = optim(X, y, W)\n",
    "    preds.append(theta.dot(x_eval))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1126f83c8>]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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HNOZvrtij7/WsWYZfOwkVHWC73y7c0RB7l9NJqac/lImwCx2XtbtqAajzNW/ZpoPqxiCQ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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1126f8240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wave_lens, df_tv.loc[0].values)\n",
    "plt.plot(wave_lens, preds)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Althought it seems to work better, locally weighted linear regression does a new regression fit for every data point to evaluate (typical of non-parametric model), which could quite expensive.\n",
    "\n",
    "TODO: how to refactor weighted linear regression to make it fast (vectorize?)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (b) iii."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Varying tau values and see its effect"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Eeh0Ua61/q7WepLWeDHwdeFdr/e1e79kQoXSqfMLQ8Yx5ikNpA+3K6XC380v5hBCiQIq9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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11618d6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 2, figsize=(12, 8))\n",
    "axes = axes.ravel()\n",
    "\n",
    "for k, tau in enumerate([1, 10, 100, 1000]):\n",
    "    ax = axes[k]\n",
    "    preds = []\n",
    "    for x_eval in X:\n",
    "        W = construct_weight_matrix(X, x_eval, tau=tau)\n",
    "        theta = optim(X, y, W)\n",
    "        preds.append(theta.dot(x_eval))\n",
    "\n",
    "    ax.plot(wave_lens, df_tv.loc[0].values)\n",
    "    ax.plot(wave_lens, preds)\n",
    "    ax.set_title('tau = {0}'.format(tau))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So when $\\tau$ is small, the prediction becomes very sensitive to the distance between the data point to be evaluated and the training data. Hence, the prediction also appears to be noisy. When $\\tau$ is big, the opposite happens."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (C) i."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Smooth all spectra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def lwr_single(X, y, x, tau):\n",
    "    \"\"\"locally weighted regression for a single observation\"\"\"\n",
    "    W = construct_weight_matrix(X, x, tau=tau)\n",
    "    theta = optim(X, y, W)\n",
    "    return theta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def lwr(X, y, xs, tau):\n",
    "    \"\"\"lwr for multiple xs\"\"\"\n",
    "    thetas = []\n",
    "    for x in xs:\n",
    "        th = lwr_single(X, y, x, tau)\n",
    "        thetas.append(th)\n",
    "    return thetas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,"
     ]
    }
   ],
   "source": [
    "# smoothed spectrum\n",
    "fs_tv = []\n",
    "x0 = np.ones(df_tv.shape[1])\n",
    "x1 = wave_lens\n",
    "X = np.stack([x0, x1]).T\n",
    "# used for calculating distances d(f1, f2)\n",
    "for k, row in df_tv.iterrows():\n",
    "    print(k, end=',')\n",
    "    y = row.values\n",
    "    thetas = lwr(X, y, X, tau=5)\n",
    "    prd = [_t.dot(_x) for (_t, _x) in zip(thetas, X)]\n",
    "    fs_tv.append(prd)\n",
    "df_fs_tv = pd.DataFrame(fs_tv, columns=df_tv.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200, 450)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_fs_tv.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,"
     ]
    }
   ],
   "source": [
    "# smoothed spectrum\n",
    "fs_test = []\n",
    "x0 = np.ones(df_test.shape[1])\n",
    "x1 = wave_lens\n",
    "X = np.stack([x0, x1]).T\n",
    "# used for calculating distances d(f1, f2)\n",
    "for k, row in df_test.iterrows():\n",
    "    print(k, end=',')\n",
    "    y = row.values\n",
    "    thetas = lwr(X, y, X, tau=5)\n",
    "    prd = [_t.dot(_x) for (_t, _x) in zip(thetas, X)]\n",
    "    fs_test.append(prd)\n",
    "df_fs_test = pd.DataFrame(fs_test, columns=df_test.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (C) ii."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "wl_right = wave_lens[wave_lens >= 1300]\n",
    "wl_left = wave_lens[wave_lens < 1200]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df_fs_tv_r = df_fs_tv[wl_right]\n",
    "df_fs_tv_l = df_fs_tv[wl_left]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200, 300)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_fs_tv_r.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def ker(t):\n",
    "    return np.max(1 - t, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# It's very similar to k-nearest-neighbour algorithm,\n",
    "# it select the neihbours based on distances calculated from the right spectrum, \n",
    "# and then calculate the weighted (based on distances) average of left spectrum\n",
    "num_neighb = 3 # number of neighbours to consider\n",
    "errors = []\n",
    "preds_tv = []\n",
    "for k, row in df_fs_tv_r.iterrows():\n",
    "    dists = ((df_fs_tv_r - row) ** 2).sum(axis=1)\n",
    "    max_d = dists.max()\n",
    "    neighb_ds = dists.sort_values()[:num_neighb]\n",
    "\n",
    "    p1 = np.sum([ker(d / max_d) * df_fs_tv_l.loc[idx] for (idx, d) in neighb_ds.iteritems()], axis=0) \n",
    "    p2 = np.sum([ker(d / max_d) for (idx, d) in neighb_ds.iteritems()])\n",
    "    f_left_hat = p1 / p2\n",
    "    preds_tv.append(f_left_hat)\n",
    "    error = np.sum((f_left_hat - df_fs_tv_l.loc[k]) ** 2)\n",
    "    errors.append(error)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0663958023831606"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(errors)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize some predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XRGRJ0QEy6X5m0omIMnKWu+uZdM6bRKbEIN0g+ZS7A9pkyz3pRGRFA2XSvdyT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\nwe970jHVAIDN+3Nn07/5h9U44+6X8zqj3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WJway82Hz9l9L5QnZtJd7ezxMrchMRqrIYe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kuvTDzcbaGroiasEmIjJQZzhBU2aNOSXo55C2u4t4noL0EukMH3km/XAoRiI51BpdRLzIzC4B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\nbcT/Ax+Vyo7ThXxfAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1166a48d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(3, 3, figsize=(14, 12))\n",
    "axes = axes.ravel()\n",
    "\n",
    "for k, idx in enumerate([0, 5, 10, 15, 20, 25, 30, 35, 40]):\n",
    "    ax = axes[k]\n",
    "    ax.plot(wave_lens, df_fs_tv.loc[idx], label='smoothed')\n",
    "    ax.plot(wl_left, preds_tv[idx], label='predicted')\n",
    "    ax.legend()\n",
    "    ax.set_title('Example {0}'.format(idx + 1))\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (C) iii."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predict test dataset based on training dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df_fs_test_r = df_fs_test[wl_right]\n",
    "df_fs_test_l = df_fs_test[wl_left]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "err_test = []\n",
    "preds_test = []\n",
    "for k, row in df_fs_test_r.iterrows():\n",
    "    dists = ((df_fs_tv_r - row) ** 2).sum(axis=1)\n",
    "    max_d = dists.max()\n",
    "    neighb_ds = dists.sort_values()[:num_neighb]\n",
    "\n",
    "    p1 = np.sum([ker(d / max_d) * df_fs_tv_l.loc[idx] for (idx, d) in neighb_ds.iteritems()], axis=0) \n",
    "    p2 = np.sum([ker(d / max_d) for (idx, d) in neighb_ds.iteritems()])\n",
    "    f_left_hat = p1 / p2\n",
    "    preds_test.append(f_left_hat)\n",
    "    err = np.sum((f_left_hat - df_fs_test_l.loc[k]) ** 2)\n",
    "    err_test.append(err)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.7099695794174163"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(err_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot for 9 test examples, including 1, 6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mLXMnRelMpNnXlWRyXfhIvyoiUhGcc7R2JZhSF+6ZF/fmrzlFxN+0Ia0H2rtznQUbaoI0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0SkNJovpV6USRcRERERERGZIRSki4iIiIiIiMwQKncXERERERERmSGUSRcRERERERGZIQL1euP5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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117b7b0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(3, 3, figsize=(14, 12))\n",
    "axes = axes.ravel()\n",
    "\n",
    "for k, idx in enumerate([0, 5, 10, 15, 20, 25, 30, 35, 40]):\n",
    "    ax = axes[k]\n",
    "    ax.plot(wave_lens, df_fs_test.loc[idx], label='smoothed')\n",
    "    ax.plot(wl_left, preds_test[idx], label='predicted')\n",
    "    ax.legend()\n",
    "    ax.set_title('Example {0}'.format(idx + 1))\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Overall, the prediction is poor, for both training and testing data. It seems that Example 1 and 6 (requested in the problem set) are two of the better ones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
